CONFERENCE PROCEEDINGS
6th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2018 , 2018.y., pp. 209-215
AN APPROXIMATE ANALYTICAL SOLUTION TO LARGE DEFLECTIONS OF A CANTILEVER ROD
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| DOI: 10.14415/konferencijaGFS2018.019 |
| UDC: 624.072.21:517.5 |
| CC-BY-SA 4.0 license |
| Author : Okuka, Aleksandar S.; Rehlicki Lukešević, Lidija; Szabolcs, Cakó; Spasić, Dragan T. |
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| | Summary: |
| | This paper deals with the deflection of a cantilever rod bent by a uniform
load and a concentrated force at its end point, which involves geometrical nonlinearity
and the classical Bernoulli-Euler plane elastica theory. The nonlinear two-point
boundary value problem describing the equilibrium configuration of that rod was solved
by use of the Laplace transform and the method of successive approximations. The
obtained analytical approximation of the solution was compared with both numerical
and experimental ones obtained in the laboratory. |
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| | Keywords: |
| | Laplace transform, nonlinear boundary value problems, successive approximation, plane elastica |
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